A Whitehead theorem for periodic homotopy groups

Tobias Barthel; Gijs Heuts; Lennart Meier

doi:10.1007/s11856-021-2086-4

A Whitehead theorem for periodic homotopy groups

Tobias Barthel, Gijs Heuts, Lennart Meier

University of Copenhagen

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We show that vn-periodic homotopy groups detect homotopy equivalences between simply-connected finite CW-complexes.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Israel Journal of Mathematics
Volume	241
DOIs	https://doi.org/10.1007/s11856-021-2086-4
Publication status	Published - Mar 2021

Bibliographical note

Funding Information:
GH was supported by NWO grant 016.Veni.192.186.

Publisher Copyright:
© 2021, The Hebrew University of Jerusalem.

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10.1007/s11856-021-2086-4

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abstract = "We show that vn-periodic homotopy groups detect homotopy equivalences between simply-connected finite CW-complexes.",

author = "Tobias Barthel and Gijs Heuts and Lennart Meier",

note = "Funding Information: GH was supported by NWO grant 016.Veni.192.186. Publisher Copyright: {\textcopyright} 2021, The Hebrew University of Jerusalem.",

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A Whitehead theorem for periodic homotopy groups

Abstract

Bibliographical note

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